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Finding the Fourth Proportional to 519,817.53, 717,389.87 and 413,266.89

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Solution

The fourth proportional to 519,817.53, 717,389.87 and 413,266.89 is: 570,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,817.53 : 717,389.87 = 413,266.89 : x
  2. Step 2: Convert to fraction form
    519,817.53/717,389.87 = 413,266.89/x
  3. Step 3: Cross multiply
    519,817.53x = 717,389.87 × 413,266.89
  4. Step 4: Simplify right side
    519,817.53x = 296,473,480,492.40
  5. Step 5: Solve for x
    x = 296,473,480,492.40/519,817.53
  6. Step 6: Final answer
    x = 570,341.44

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.